{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cluster Analysis \n",
    "\n",
    "This notebook prototypes the cluster analysis visualizers that I'm currently putting together.\n",
    "\n",
    "**NOTE**: Currently I'm using the sklearn `make_blobs` function to create test datasets with specific numbers of clusters. However, in order to add this to the documentation, we should add a real dataset. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys \n",
    "sys.path.append(\"../..\")\n",
    "\n",
    "import numpy as np\n",
    "import yellowbrick as yb \n",
    "import matplotlib.pyplot as plt \n",
    "\n",
    "from functools import partial\n",
    "from sklearn.datasets import make_blobs as sk_make_blobs\n",
    "from sklearn.datasets import make_circles, make_moons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Helpers for easy dataset creation \n",
    "N_SAMPLES = 1000 \n",
    "N_FEATURES = 12 \n",
    "SHUFFLE = True \n",
    "\n",
    "# Make blobs partial \n",
    "make_blobs = partial(sk_make_blobs, n_samples=N_SAMPLES, n_features=N_FEATURES, shuffle=SHUFFLE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Elbow Method \n",
    "\n",
    "This method runs multiple clustering instances and computes the average silhoutte score for each K. Model selection works by selecting the K that is the \"elbow\" of a curve that looks like an arm. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "from yellowbrick.cluster import KElbowVisualizer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 8 Blobs Dataset \n",
    "\n",
    "This series shows the use of different metrics with a dataset that does contain centers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VQQqQKjJ9YEuWHz7HnA1HGNwsQGZuFEIIwGazcvDcBjLzLtLAowkRAT3k/8db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\nIEIIIYTocP8f8Rz9BPF1KWcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1136fc198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Make 8 blobs dataset \n",
    "X, y = make_blobs(centers=8)\n",
    "visualizer = KElbowVisualizer(KMeans(), k=(4,12))\n",
    "visualizer.fit(X)\n",
    "visualizer.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NLHs6iuhmvpaOZFb/1605L0W14ExmAcO/20mFXsxBcj8oLMtGlmXs1c735APY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jPym4ULFzJ+/HjatGljdhSf2r9/P1VVVUyaNImJEyeSnZ1tdqRGt2XLFpKSkpg6dSpPP/00Dzzw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\n1OTh4TNgxgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115df3be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualizer = KElbowVisualizer(KMeans(), k=(4,12), metric=\"silhouette\")\n",
    "visualizer.fit(X)\n",
    "visualizer.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tMBj1HDi/Dhd7T0Jb3ivXsA5JAiKEsLhNsclYqVUMDmxu6VDqhfKEIyUlxfQ3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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117312dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualizer = KElbowVisualizer(KMeans(), k=(4,12), metric=\"calinski_harabaz\")\n",
    "visualizer.fit(X)\n",
    "visualizer.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Datasets without Centers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HE+rbnsKyXH5J+xIVcDd60zvqOnTaqm9xvxKNuujIycm54hkthRBCiMYsKCjoomXHc/Zi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\nhuUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11720f9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Make cicles dataset \n",
    "X, y = make_circles(n_samples=N_SAMPLES)\n",
    "visualizer = KElbowVisualizer(KMeans(), k=(4,12))\n",
    "visualizer.fit(X)\n",
    "visualizer.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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goPwMIzo/hEHn3Ohxy9fgm5xKpWLplP508HPjnW3H+e/BZHuHJIRowbKKTxKX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\niK3MarWSmprKiy++SH5+PpM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mqDybM0WJuDn60C14BE56V3uHJESLVm0qrzW/U1vfrsRf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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1130aa940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Make moons dataset \n",
    "X, y = make_moons(n_samples=N_SAMPLES)\n",
    "visualizer = KElbowVisualizer(KMeans(), k=(4,12))\n",
    "visualizer.fit(X)\n",
    "visualizer.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Silhouette Score \n",
    "\n",
    "Visualizer using the silhouette score metric "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from yellowbrick.cluster import SilhouetteVisualizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jMnnIjmATLMJERGRnjMjIqCA7hE3w7GgiIrIjCoDWyMoyyQ5iE2wJExGRHVEA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\nEhEGgCQ/vydtTGR3BhwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11728d9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Make 8 blobs dataset \n",
    "X, y = make_blobs(centers=8)\n",
    "visualizer = SilhouetteVisualizer(KMeans(6))\n",
    "visualizer.fit(X)\n",
    "visualizer.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Intercluster Distance Map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {},
   "outputs": [],
   "source": [
    "def prop_to_size(prop, mi=0, ma=5, power=0.5):\n",
    "    \"\"\"\n",
    "    Scale a property to be used as a size \n",
    "    \"\"\"\n",
    "    prop = np.asarray(prop)\n",
    "\n",
    "    return mi + (ma - mi)*(((prop - prop.min()) / (prop.max() - prop.min()))**power)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.manifold import MDS \n",
    "\n",
    "## Make 12 blobs dataset \n",
    "X, y = make_blobs(centers=12)\n",
    "\n",
    "## Fit KMeans model on dataset \n",
    "model = KMeans(9).fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 317,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[25000.           400.           400.          3084.0800499\n",
      "  3084.0800499  24853.13301574 25000.           400.\n",
      "   400.        ] [89.20620581 11.28379167 11.28379167 31.33198317 31.33198317 88.94379091\n",
      " 89.20620581 11.28379167 11.28379167]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11ed790f0>"
      ]
     },
     "execution_count": 317,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.lines import Line2D\n",
    "\n",
    "def intercluster_distance(model, ax=None):\n",
    "    # Create the figure if an axes isn't passed in \n",
    "    if ax is None:\n",
    "        fig, ax = plt.subplots(figsize=(9,6))\n",
    "    else:\n",
    "        fig = plt.gcf()\n",
    "    \n",
    "    ## Get centers \n",
    "    ## TODO: is this how sklearn stores centers in all models? \n",
    "    C = model.cluster_centers_\n",
    "\n",
    "    ## Compute the sizes of the clusters \n",
    "    scores = np.bincount(model.predict(X))\n",
    "    size = prop_to_size(scores, 400, 25000)\n",
    "\n",
    "    ## Use MDS to plot centers \n",
    "    Cm = MDS().fit_transform(C)\n",
    "    ax.scatter(Cm[:,0], Cm[:,1], s=size, c='#2e719344', edgecolor='#2e719399', linewidth=1)\n",
    "\n",
    "    ## Annotate the clustes with their labels \n",
    "    for i, pt in enumerate(Cm):\n",
    "        ax.text(s=str(i), x=pt[0], y=pt[1], va=\"center\", ha=\"center\", fontweight='bold', size=13)\n",
    "    \n",
    "    ## Set the title \n",
    "    ax.set_title(\"Intercluster Distance Map (via Multidimensional Scaling)\")\n",
    "    \n",
    "    # Create origin grid \n",
    "    ax.set_xticks([0])\n",
    "    ax.set_yticks([0])\n",
    "    ax.set_xticklabels([])\n",
    "    ax.set_yticklabels([])\n",
    "    ax.set_xlabel(\"PC2\")\n",
    "    ax.set_ylabel(\"PC1\")\n",
    "    \n",
    "    # Create a regular legend with target \"size\" descriptor \n",
    "#     handles = tuple([\n",
    "#         Line2D([0], [0], color=\"none\", marker=\"o\", markersize=i, markerfacecolor='none', markeredgecolor=\"#999999\", markeredgewidth=1, markevery=i)\n",
    "#         for i in [3,9,18]\n",
    "#     ])\n",
    "#     ax.legend([handles], ['membership',], loc='best')\n",
    "\n",
    "    # Create the size legend on an inner axes \n",
    "    lax = fig.add_axes([.9, 0.25, 0.3333, 0.5], frameon=False, facecolor=\"none\")\n",
    "    make_size_legend(scores, size, lax)\n",
    "        \n",
    "    return ax \n",
    "\n",
    "intercluster_distance(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 307,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.patches import Circle \n",
    "\n",
    "def make_size_legend(scores, areas, ax=None):\n",
    "    # Create the figure if an axes isn't passed in \n",
    "    if ax is None:\n",
    "        _, ax = plt.subplots()\n",
    "\n",
    "    ## Compute the sizes of the clusters \n",
    "    radii = np.sqrt(areas / np.pi)\n",
    "    scaled = np.interp(radii, (radii.min(), radii.max()), (.1, 1))\n",
    "    print(size, radii)\n",
    "    \n",
    "    # Compute the locations of the 25th, 50th, and 75th percentiles of the score \n",
    "    indices = np.array([\n",
    "        np.where(scores==np.percentile(scores, p, interpolation='nearest'))[0][0]\n",
    "        for p in (25, 50, 75)\n",
    "    ])\n",
    "    \n",
    "    # Draw circles with their various sizes \n",
    "    for idx in indices:\n",
    "        center = (-0.30, 1-scaled[idx])\n",
    "        c = Circle(center, scaled[idx], facecolor=\"none\", edgecolor=\"#2e7193\", linewidth=1.5, linestyle=\"--\", label=\"bob\")\n",
    "        ax.add_patch(c)\n",
    "        \n",
    "        ax.annotate(\n",
    "            scores[idx], (-0.30, 1-(2*scaled[idx])), xytext=(1, 1-(2*scaled[idx])), \n",
    "            arrowprops=dict(arrowstyle=\"wedge\", color=\"#2e7193\"), va='center', ha='center',\n",
    "        )\n",
    "    \n",
    "    # Draw size legend title \n",
    "    ax.text(s=\"membership\", x=0, y=1.2, va='center', ha='center')\n",
    "    \n",
    "    ax.set_xlim(-1.4,1.4)\n",
    "    ax.set_ylim(-1.4,1.4)\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "    for name in ax.spines:\n",
    "        ax.spines[name].set_visible(False)\n",
    "    \n",
    "    ax.grid(False)\n",
    "    \n",
    "    return ax "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
